Another cool thing, I think I heard that Volvo did, was have a mechanical compressor with an air tank to build up pressure which then dumps into the exhaust pre-turbo when the engine is at low rpms and the driver gives throttle.
If I remember right, the Ford World Rally Team did something funny to try and get more power with a system that was vaguely similar on one version of the Focus WRC (the one with the bulky bumper). It didn't really give that much extra benefit considering the complexity.
Interesting idea, but they could have just taken the Toyota Celica idea to get around the air-restrictor! It was a spring washer that cleverly and simply allowed the engine to breath better and netted them something like 45hp more(!).
Juha Kankkunen, one of the drivers was interviewed and asked by a commentator about this incredible speed:
Reporter: Juha, the Toyotas are looking very powerful today, where is that from?
Juha K: Oh err, I don't know, maybe it's from here! (flexing his arm muscles and pointing to them)
That was pretty rich!

They were caught and got a huge penalty for their troubles.
I did happen to see on the Tom Hartley Jnr site, some of the Bernie Ecclestone F1 car collection photos. The ones that caught my eye (they are all stunning) were the Brabhams:
BT55 Chassis 7:
https://www.tomhartleyjnr.com/car/previously-sold/1986/brabham/bt55/brabham-bt55/
That was the infamous pancake Brabham with the spectacularly flat design, with a 72º layover BMW M12 1499cc turbo engine. Supposedly 900hp in race tune and more than 1000hp in qualifying, though I suspect the actual figure is more than 1300hp in qualifying given that BMW M12 was the most powerful engine of the lot. Also interesting is that it had a Weismann 7 speed manual, supposedly to address the bad turbo lag of the BMW M12. The car could supposedly top 345km/h.
BT52B chassis 5:
https://www.tomhartleyjnr.com/car/previously-sold/1983/brabham/bt52b/brabham-bt52b-2/
Nelson Piquet title winning car. Also tested by Ayrton Senna. Amazing.
BT49C chassis 15:
https://www.tomhartleyjnr.com/car/previously-sold/1981/brabham/bt49c/brabham-bt49c/
3.0L Ford V8 powered, this was the car that had the very naughty hydro-pneumatic suspension system to get around the restrictions on skirts and ride height. At one point it also had water cooling for the brakes, another extremely dodgy way to make the car lighter. If the car broke down on track it was panic stations to quickly get the water tank filled up. There is a good diagram here from Gordon Murray on the suspension system:
En los últimos días se ha viralizado una «confesión» por parte de Bernie Ecclestone sobre la definición de campeonato de 1981 que tuvo a su piloto Nelson Piquet de Brabham y al argentino Carlos Reu…
elotroladodelascarreras.blog
I know that's by Murray because I recognise his hand writing.
And the last one that I love and probably the wildest of the lot was the BT46B:
Included in the sale of the Ecclestone Grand Prix Collection. Brabham’s most iconic and famous car. Driven by Niki Lauda to victory in the 1978 Swedish Grand Prix, in which he won the race by over half a minute. Following its victory in Sweden, the car also achieved a second place finish at the...
www.tomhartleyjnr.com
The fan on the back was "primarily" for cooling purposes (51%) and aerodynamic purpose was 49% - haha! This was because Lotus had brought in ground effects tunnels, and Brabham with their big fat Alfa Romeo flat-12 had no chance, the banks of cylinders were in the way, they also had flat radiators that didn't work especially well.
So Murray's genius solution was to seal the entire underbody of the car to the ground with skirts, front, rear, sides, the lot and then developed that 18" diameter fan at the back, running at something around maximum 8000rpm, driven by clutches off the gearbox to help "cool the engine". This was found out immediately for what it was, when the car was parked, if the flaps weren't opened, then when the engine was revved up (to warm it), the entire car squatted to the ground under the huge suction pressure of the fan. It had a massive advantage, its downforce wasn't speed dependent unlike other ground-effects cars, provided the fan was running at peak speed, it had huge downforce.
The others didn't like it - certainly outraged... One famous driver (Mario Andretti) was "hell man, that thing is chucking rocks and dust... it's gonna kill someone". These fan cars did behave like giant vacuum cleaners, sucking everything up from the road and spitting it out the back.
Forgive the long post, but those photos were interesting, not often you get to see a lot of detail on those very famous GP cars.